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math-ph2026

Beyond $K$-Theory: Geometry and Holomorphy in Hyperbolic Band Theory

Steven Rayan

math-ph2026

Collective superintegrable systems from the Guillemin--Sternberg torus action

L. Feher

math-ph2026

Geometric theory of generalised continua using moving frames

Boris Kolev, Cl{é}ment Ecker

math-ph2026

A Hamiltonian approach to the CH-KP equation

R. Camassa, G. Falqui, E. Sforza

math-ph2026

Quantum Vortices in a Boundary Layer: New Results and Perspectives

Sergei V. Talalov

math-ph2026

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis

Fridolin Melong, Raimar Wulkenhaar

math-ph2026

On the local conformal structure of Imaginary Liouville theory

Baptiste Cerclé, Romain Usciati

math-ph2026

Analysis of Conjectural Improvements to Minkowski's Lower Bound on the Sphere Packing Density

Carlo Vanoni, Alan Guo, Salvatore Torquato

math-ph2026

Connes spectral distance on twisted fuzzy torus

Zhi-Kang You, Bing-Sheng Lin

math-ph2026

Dual Variational Principles for Curl Forces

Arash Yavari, Amit Acharya

math-ph2026

Renormalizations in holomorphic field theories on Kähler manifolds

Minghao Wang, Junrong Yan

math-ph2026

Remarks on Regular Approximations to the Robin Aharonov-Bohm Hamiltonian

Cesar R. de Oliveira

math-ph2026

Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography

Maurice de Gosson

math-ph2026

Spectral Analysis of a Soft Quantum Waveguide Coupled to a Massive Quantum Scalar Field

Benjamin Alvarez, Hugo Gouttenegre

math-ph2026

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra

Nicolas Crampé, Sarah Post, Luc Vinet

math-ph2026

On the Emergence of Exponential Decay from Discrete Spectra for Friedrichs Hamiltonians

Tamim Al-Qaiwani, Sören Petrat

math-ph2026

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues

Lung-Hui Chen

math-ph2026

Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjecture

Alessandro Arsie, Paolo Lorenzoni

math-ph2026

Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline Equivalence

Daniel Sheinbaum, Omar Antolín-Camarena

math-ph2026

The reduced Dirac structure of General Relativity on manifolds with corners

Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli

The paper derives the Poisson structure on the corners of four‑dimensional Palatini‑Cartan gravity, constructs a reduced Dirac structure for corner fields, and shows its equivalenc…

#general relativity#palatini-cartan gravity#corner theory#poisson geometry
math-ph2026

Integrability in Asymptotic Symmetries of Spacetime: the $\text{BMS}_3$ scenario

Corentin Vitel

The paper revisits and extends the construction of an integrable hierarchy associated with the BMS₃ asymptotic symmetry algebra, building a bi‑Hamiltonian structure, Nijenhuis oper…

#asymptotic symmetries#bms3 algebra#integrable systems#bi-hamiltonian structure
math-ph2026

Consistent symmetry breaking and topological phases

Yuezhao Li, Guo Chuan Thiang

The paper studies operators that are invariant under a symmetry group and shows that their equivariant indices must remain consistent when the symmetry is reduced to a finite‑index…

#symmetry breaking#equivariant index#topological phases#topological insulators
math-ph2026

Redundant moments of non-melonic random tensor models: simplifying the tensor bootstrap

Carlos I. Perez-Sanchez

The paper proves that melonic operators in large‑N tensor models have expectation values determined solely by their degree, showing redundancy in melonic moments and simplifying th…

#random tensor models#large-n limit#melonic diagrams#tensor bootstrap
math-ph2026

Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics

L. Aceto, P. A. Grassi, H. Malonek

The paper reformulates the stationary Dirac equation for a generalized Kronig‑Penney model using Clifford analysis, introduces a Clifford‑Appell polynomial basis, and derives expli…

#dirac equation#kronig-penney model#clifford analysis#appell polynomials
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